31801 has 12 divisors (see below), whose sum is σ = 41040. Its totient is φ = 24360.

The previous prime is 31799. The next prime is 31817. The reversal of 31801 is 10813.

It is not a de Polignac number, because 31801 - 2¹ = 31799 is a prime.

It is a super-2 number, since 2×31801² = 2022607202, which contains 22 as substring.

It is a Duffinian number.

31801 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (31891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510 + ... + 568.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2³¹⁸⁰¹ is an apocalyptic number.

It is an amenable number.

31801 is a deficient number, since it is larger than the sum of its proper divisors (9239).

31801 is a wasteful number, since it uses less digits than its factorization.

31801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 31801 is about 178.3283488400. The cubic root of 31801 is about 31.6820731434.

The spelling of 31801 in words is "thirty-one thousand, eight hundred one".